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1013004214049 is a prime number
BaseRepresentation
bin11101011110110111100…
…00011001111100100001
310120211202000010221112102
432233123300121330201
5113044113034322144
62053211231540145
7133121121514352
oct16573360317441
93524660127472
101013004214049
11360681519433
121443b108a655
13746ab4b4659
143705b58bd29
151b53d24bb4e
hexebdbc19f21

1013004214049 has 2 divisors, whose sum is σ = 1013004214050. Its totient is φ = 1013004214048.

The previous prime is 1013004214031. The next prime is 1013004214051. The reversal of 1013004214049 is 9404124003101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 954919840000 + 58084374049 = 977200^2 + 241007^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013004214049 - 224 = 1012987436833 is a prime.

Together with 1013004214051, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1013004264049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506502107024 + 506502107025.

It is an arithmetic number, because the mean of its divisors is an integer number (506502107025).

Almost surely, 21013004214049 is an apocalyptic number.

It is an amenable number.

1013004214049 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013004214049 is an equidigital number, since it uses as much as digits as its factorization.

1013004214049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 1013004214049 in words is "one trillion, thirteen billion, four million, two hundred fourteen thousand, forty-nine".